Question

Which number line represents the solutions -2(3x) = -6?

a) 3x = -6
b) -3x = -6
c) x = -2
d) x = 2

Answer 1

None of the provided options are correct; the correct solution to -2(3x) = -6 is x = 1 after simplifying and solving the equation.

Step-by-step explanation:

The student has asked which number line represents the solutions to the equation -2(3x) = -6. To find the solution, we must simplify the equation. First, we divide both sides by -2, which gives us 3x = 3. Then, we divide both sides by 3 to solve for x, resulting in x = 1. Therefore, the answer is none of the provided options a) 3x = -6, b) -3x = -6, c) x = -2, or d) x = 2, since the correct solution is x = 1.